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Properties and constructions key terms

Use these key terms for Properties and constructions in AQA Mathematics 8300. The page is built from approved learning objectives for this topic and links back to the wider unit, topic hub, and related revision assets.

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key terms

Resource type

Topic

Properties and constructions

AQAGCSEMathematicsGeometry and measures

Key terms

  • line

    line is a method cue for Geometric terms and notation. Use it when working on "[Foundation and Higher] Use conventional geometric terms and notation for points, lines, vertices, edges, planes, angles, polygons and symmetries." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

  • standard

    standard is a method cue for Geometric terms and notation. Use it when working on "[Foundation and Higher] Use standard conventions for triangle sides and angles and draw diagrams from written descriptions." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

  • construction

    construction is a method cue for Constructions and loci. Use it when working on "[Foundation and Higher] Use standard ruler and compass constructions, including perpendicular bisectors, perpendiculars and angle bisectors." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

  • construction

    construction is a method cue for Constructions and loci. Use it when working on "[Foundation and Higher] Use constructions to construct figures and solve loci problems." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

  • shortest distance

    shortest distance is a method cue for Constructions and loci. Use it when working on "[Foundation and Higher] Know that perpendicular distance from a point to a line is the shortest distance to the line." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

  • angle

    angle is a method cue for Angle facts. Use it when working on "[Foundation and Higher] Apply angle facts at a point, on a straight line and for vertically opposite angles." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

  • angle

    angle is a method cue for Angle facts. Use it when working on "[Foundation and Higher] Use alternate and corresponding angles on parallel lines." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

  • angle

    angle is a method cue for Angle facts. Use it when working on "[Foundation and Higher] Derive and use angle sums in triangles and polygons and properties of regular polygons." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

  • quadrilateral

    quadrilateral is a method cue for Quadrilaterals, triangles and polygons. Use it when working on "[Foundation and Higher] Derive and apply properties and definitions of special quadrilaterals, triangles and other plane figures using appropriate language." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

  • congruence

    congruence is a method cue for Triangle congruence. Use it when working on "[Foundation and Higher] Use basic triangle congruence criteria: SSS, SAS, ASA and RHS." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

  • congruence

    congruence is a method cue for Geometric reasoning and proof. Use it when working on "[Foundation and Higher] Apply angle facts, congruence, similarity and quadrilateral properties to conjecture and derive results about angles and sides." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

  • Pythagoras

    Pythagoras is a method cue for Geometric reasoning and proof. Use it when working on "[Foundation and Higher] Use known results including Pythagoras' theorem and isosceles base angles to obtain simple proofs." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label. For Pythagoras, keep the reasoning tied to right-angled triangles and identify the hypotenuse.

  • congruent

    congruent is a method cue for Transformations and similarity. Use it when working on "[Foundation and Higher] Identify, describe and construct congruent and similar shapes, including on coordinate axes, using rotations, reflections, translations and enlargements." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

  • foundation

    foundation is a method cue for Transformations and similarity. Use it when working on "[Foundation and Higher] Include fractional scale factors where tier-appropriate." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

  • higher

    higher is a method cue for Transformations and similarity. Use it when working on "[Higher only] Include negative scale factors." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

  • foundation

    foundation is a method cue for Combined transformations. Use it when working on "[Foundation and Higher] Describe changes and invariance from combinations of rotations, reflections and translations." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

  • column vector

    column vector is a method cue for Combined transformations. Use it when working on "[Foundation and Higher] Use column vector notation for translations." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

  • circle

    circle is a method cue for Circle definitions and properties. Use it when working on "[Foundation and Higher] Identify and apply circle definitions and properties including centre, radius, chord, diameter and circumference." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

  • tangent

    tangent is a method cue for Circle definitions and properties. Use it when working on "[Foundation and Higher] Include tangent, arc, sector and segment where tier-appropriate." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

  • circle theorem

    circle theorem is a method cue for Circle theorems. Use it when working on "[Higher only] Apply and prove standard circle theorems concerning angles, radii, tangents and chords." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

  • circle theorem

    circle theorem is a method cue for Circle theorems. Use it when working on "[Higher only] Use circle theorems to prove related geometric results." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

  • coordinate axes

    coordinate axes is a method cue for Coordinate geometry. Use it when working on "[Foundation and Higher] Solve geometrical problems on coordinate axes." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

  • prism

    prism is a method cue for Properties of three-dimensional shapes. Use it when working on "[Foundation and Higher] Identify properties of faces, surfaces, edges and vertices of cubes, cuboids, prisms, cylinders, pyramids, cones and spheres." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

  • plan

    plan is a method cue for Plans and elevations. Use it when working on "[Foundation and Higher] Interpret plans and elevations of three-dimensional shapes." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

  • plan

    plan is a method cue for Plans and elevations. Use it when working on "[Foundation and Higher] Construct plans and elevations of three-dimensional shapes where tier-appropriate." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

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